two chords are equidistant from centre if length of 1 chord is 12 then find the length of other chord
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Answer:
Let AB,PQ be two chords, OC and OR be their distance from center.
Given
OC=OR
WKT
BC=AC and PR=SR because perpendicular line from center bisects the chord.
In △OBC
BC
2
=r
2
–OC
2
–(1)
In △OPR
OP
2
=RP
2
+OR
2
PR
2
=r
2
–OC
2
–(2)
(1)=(2)
⟹BC=PR⟹2BC=2PR
AB=PQ
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